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Finding the Fourth Proportional to 319.85, 477.32 and 285.24

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Solution

The fourth proportional to 319.85, 477.32 and 285.24 is: 425.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.85 : 477.32 = 285.24 : x
  2. Step 2: Convert to fraction form
    319.85/477.32 = 285.24/x
  3. Step 3: Cross multiply
    319.85x = 477.32 × 285.24
  4. Step 4: Simplify right side
    319.85x = 136,151.12
  5. Step 5: Solve for x
    x = 136,151.12/319.85
  6. Step 6: Final answer
    x = 425.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.